Least Common Multiple (LCM) of 149 and 147
The least common multiple (LCM) of 149 and 147 is 21903.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 149 and 147?
First, calculate the GCD of 149 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 147 = 1 remainder 2 |
| 2 | 147 ÷ 2 = 73 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 48 | 8592 |
| 174 and 102 | 2958 |
| 184 and 164 | 7544 |
| 107 and 185 | 19795 |
| 189 and 179 | 33831 |